Theorems · Theorem · general topology

RestrictedProduct.evalRingHom_apply

∀ {ι : Type u_1} (R : ι → Type u_2) {𝓕 : Filter ι} {S : ι → Type u_3} [inst : (i : ι) → SetLike (S i) (R i)]
  {B : (i : ι) → S i} [inst_1 : (i : ι) → Ring (R i)] [inst_2 : ∀ (i : ι), SubringClass (S i) (R i)]
  (x : RestrictedProduct (fun i => R i) (fun i => ↑(B i)) 𝓕) (j : ι), (RestrictedProduct.evalRingHom R j) x = x j

Defined in

Mathlib.Topology.Algebra.RestrictedProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

SetLikeRingSubringClass